Here is how I ended up storing 'chunky' wood, at least for this year. It sits in the middle of a long pallet, with piles of kindling and small splits on the ends holding it in. Two pairs of 2 by 4 uprights hold metal lath on one side, and 1/2in square hardware cloth on the other side. It's simply stapled onto the 2 by 4's. I just cobbled this together from what I had on hand. Seems plenty strong enough, as the pile is only about 3ft high by 5ft long. I'll post a better photo later.
Man, I have got to get a better camera. Anyway, here is a slightly better photo:
Some time later this fall, I'll put tarps across just the tops of my woodpiles. That'll have to do until I get my woodshed designed and built.